Find the median and mean of the data set below:

Question

43, comma, 49, comma, 6, comma, 5, comma, 9
43,49,6,5,9

Answer 1

To find the median and mean of the given data set $43,49,6,5,9$, we will follow these steps:

Step 1: Organize the Data

First, let's arrange the data in ascending order: $$5,6,9,43,49$$

Step 2: Find the Median

The median is the middle number in a sorted list. Since there are 5 numbers (an odd count), the median is the third number:

• Median: $9$

Step 3: Find the Mean

The mean is calculated by adding all the numbers together and dividing by the count of the numbers.

1. Calculate the sum: $$5+6+9+43+49=112$$

2. Divide by the number of data points (5): $$\text{Mean}=\frac{112}{5}=22.4$$

Summary of Results

• Median: $9$
• Mean: $22.4$